51005605100 has 72 divisors (see below), whose sum is σ = 114753072000. Its totient is φ = 19657612800.

The previous prime is 51005605093. The next prime is 51005605111. The reversal of 51005605100 is 150650015.

51005605100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673976 + ... + 745824.

Almost surely, 2^51005605100 is an apocalyptic number.

51005605100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51005605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57376536000).

51005605100 is an abundant number, since it is smaller than the sum of its proper divisors (63747466900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51005605100 is a wasteful number, since it uses less digits than its factorization.

51005605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72123 (or 72116 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 51005605100 in words is "fifty-one billion, five million, six hundred five thousand, one hundred".